Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5474 and 5480 the smallest integer that is 14998760 that is divisible by both numbers.
Least Common Multiple (LCM) of 5474 and 5480 is 14998760.
LCM(5474,5480) = 14998760
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5474 and 5480. First we will calculate the prime factors of 5474 and 5480.
Prime Factorization of 5474
2 | 5474 |
7 | 2737 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 5474 are 2, 7, 17,23. Prime factorization of 5474 in exponential form is:
5474 = 21×71×171×231
Prime Factorization of 5480
2 | 5480 |
2 | 2740 |
2 | 1370 |
5 | 685 |
137 | 137 |
1 |
Prime factors of 5480 are 2, 5,137. Prime factorization of 5480 in exponential form is:
5480 = 23×51×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5474 and 5480.
LCM(5474,5480) = 23×51×71×171×231×1371
LCM(5474,5480) = 14998760
Factors of 5474
List of positive integer factors of 5474 that divides 5474 without a remainder.
1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474
Factors of 5480
List of positive integer factors of 5480 that divides 5480 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5474 and 5480, than apply into the LCM equation.
GCF(5474,5480) = 2
LCM(5474,5480) = ( 5474 × 5480) / 2
LCM(5474,5480) = 29997520 / 2
LCM(5474,5480) = 14998760
(i) The LCM of 5480 and 5474 is associative
LCM of 5474 and 5480 = LCM of 5480 and 5474
1. What is the LCM of 5474 and 5480?
Answer: LCM of 5474 and 5480 is 14998760.
2. What are the Factors of 5474?
Answer: Factors of 5474 are 1, 2, 7, 14, 17, 23, 34, 46, 119, 161, 238, 322, 391, 782, 2737, 5474. There are 16 integers that are factors of 5474. The greatest factor of 5474 is 5474.
3. What are the Factors of 5480?
Answer: Factors of 5480 are 1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740, 5480. There are 16 integers that are factors of 5480. The greatest factor of 5480 is 5480.
4. How to Find the LCM of 5474 and 5480?
Answer:
Least Common Multiple of 5474 and 5480 = 14998760
Step 1: Find the prime factorization of 5474
5474 = 2 x 7 x 17 x 23
Step 2: Find the prime factorization of 5480
5480 = 2 x 2 x 2 x 5 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14998760 = 2 x 2 x 2 x 5 x 7 x 17 x 23 x 137
Step 4: Therefore, the least common multiple of 5474 and 5480 is 14998760.